Week |
Subject |
Related Preparation |
1) |
Abelian groups, rings and fields. |
|
2) |
Vector spaces and linear transformations. Bases and matrix representations of linear transformations. |
|
3) |
Polynomial rings. Ideals, prime and maximal ideals. Quotients of polynomial rings. Modules over polynomial rings. |
|
4) |
Prime and primary ideals. Factorization of ideals in the monoid of ideals. Localizations of ideals. |
|
5) |
Zero-divisors, integral domains and rings of fractions. Unique factorization domains and Eucledian domains. |
|
6) |
Radical of an ideal. Nilradical and Jacobson radical of a ring. Operations in the lattice of ideals. |
|
7) |
A review of covered subjects and the first exam. |
|
8) |
Classical Euclidean division algorithm in polynomial algebras. Monomial orderings and division algorithms. |
|
9) |
Fundamental Theorem of Algebra. Finite generation of ideals in polynomial algebras. |
|
10) |
Gröbner basis and Buchberger algorithm. Examples and calculations. |
|
11) |
Gröbner basis and Buchberger algorithm. Examples and calculations. |
|
12) |
A review of covered subjects and the second exam. |
|
13) |
Morphisms between modules. Kernels and images of morphisms. Submodules and quotient modules. Ideals of annihilators. Examples. |
|
14) |
Internal and external sums of modules. Tensor products of modules. Submodule and ideal chains. Artinian and Noetherian rings and modules. |
|
|
Program Outcomes |
Level of Contribution |
1) |
Create design oriented application for the visual communication design field. |
|
2) |
Resolve visual communication problems via concept based designs and an integrated perspective in the visual communication design field. |
|
3) |
Qualify in design directing through analysis and design processes. |
|
4) |
Display creative thinking, approach and production process skills. |
|
5) |
Integrate basic fields of visual communication; print, time-based and interactive media, through mastering each one of these fields individually. |
|
6) |
Identify complementary design solutions in the visual field in order to solve communication problems. |
|
7) |
Perform necessary operational skills in order to finalize products in the visual communication design field. |
|
8) |
Evaluate recent design trends and the evolving aesthetic perspectives. |
|
9) |
Use recent design softwares that coincide with the developing information technologies and communication channels. |
|
10) |
Interpret theoretical, historical and intellectual roots of the visual communication design field. |
|
11) |
Perform necessary time management in order to complete a visual communication design project. |
|
12) |
Demonstrate leadership qualities in a design team as well as individual skills during the progress of a visual communication design project. |
|
13) |
Display compositional solutions and aesthetic skills to fulfill design needs in a visual communication design work. |
|
14) |
Develop academical, intellectual and critical point of view for global, local and individual visual communication design works. |
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